%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL020+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:33:48 PM UTC 2026
% Result : Theorem 36.97s 6.95s
% Output : Refutation 43.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 23
% Syntax : Number of formulae : 265 ( 261 unt; 9 def)
% Number of atoms : 269 ( 268 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 14 con; 0-2 aty)
% Number of variables : 295 ( 293 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f15,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modular_law_1) ).
fof(f17,conjecture,
! [X0,X1] :
( composition(X0,top) = X0
=> composition(meet(X0,one),X1) = meet(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( composition(X0,top) = X0
=> composition(meet(X0,one),X1) = meet(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1] :
( meet(X0,X1) != composition(meet(X0,one),X1)
& composition(X0,top) = X0 ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( meet(sK0,sK1) != composition(meet(sK0,one),sK1)
& sK0 = composition(sK0,top) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f19]) ).
fof(f21,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f27,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f35,plain,
! [X2,X0,X1] : meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),
inference(cnf_transformation,[],[f15]) ).
fof(f37,plain,
sK0 = composition(sK0,top),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
meet(sK0,sK1) != composition(meet(sK0,one),sK1),
inference(cnf_transformation,[],[f20]) ).
fof(f39,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f33,f24]) ).
fof(f41,plain,
! [X2,X0,X1] : complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2)))),
inference(definition_unfolding,[],[f35,f24,f24,f24,f24,f24]) ).
fof(f43,plain,
complement(join(complement(sK0),complement(sK1))) != composition(complement(join(complement(sK0),complement(one))),sK1),
inference(definition_unfolding,[],[f38,f24,f24]) ).
fof(f44,definition,
sF2 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f45,plain,
complement(sK0) = sF2,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF3 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f47,plain,
complement(sK1) = sF3,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF4 = join(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f49,plain,
join(sF2,sF3) = sF4,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f51,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF6 = complement(one),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f53,plain,
complement(one) = sF6,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF7 = join(sF2,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f55,plain,
join(sF2,sF6) = sF7,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f57,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF9 = composition(sF8,sK1),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f59,plain,
composition(sF8,sK1) = sF9,
inference(reorient_equations,[],[f58]) ).
fof(f60,plain,
sF5 != sF9,
inference(definition_folding,[],[f43,f59,f57,f55,f53,f45,f51,f49,f47,f45]) ).
fof(f61,definition,
sF10 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f62,plain,
composition(sK0,top) = sF10,
inference(reorient_equations,[],[f61]) ).
fof(f63,plain,
sK0 = sF10,
inference(definition_folding,[],[f37,f62]) ).
fof(f64,plain,
sK0 = composition(sK0,top),
inference(forward_demodulation,[],[f62,f63]) ).
fof(f66,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),join(complement(X0),X1)))),
inference(superposition,[],[f23,f23]) ).
fof(f73,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f28]) ).
fof(f74,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f29,f28]) ).
fof(f83,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f30,f28]) ).
fof(f84,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f102,plain,
! [X0] : composition(join(sK0,X0),top) = join(sK0,composition(X0,top)),
inference(superposition,[],[f27,f64]) ).
fof(f103,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f27,f30]) ).
fof(f121,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f122,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f161,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f103,f30]) ).
fof(f170,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f161,f29]) ).
fof(f173,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f170,f29]) ).
fof(f175,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f173,f30]) ).
fof(f186,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f175]) ).
fof(f197,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f186,f28]) ).
fof(f211,plain,
! [X0] : composition(sF8,join(sK1,X0)) = join(sF9,composition(sF8,X0)),
inference(superposition,[],[f197,f59]) ).
fof(f212,plain,
! [X0] : composition(sK0,join(top,X0)) = join(sK0,composition(sK0,X0)),
inference(superposition,[],[f197,f64]) ).
fof(f214,plain,
! [X0] : composition(sF8,join(X0,sK1)) = join(composition(sF8,X0),sF9),
inference(superposition,[],[f197,f59]) ).
fof(f215,plain,
! [X0] : composition(sK0,join(X0,top)) = join(composition(sK0,X0),sK0),
inference(superposition,[],[f197,f64]) ).
fof(f267,plain,
! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,X1)),
inference(superposition,[],[f197,f26]) ).
fof(f278,plain,
zero = complement(top),
inference(superposition,[],[f39,f32]) ).
fof(f317,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f22,f32]) ).
fof(f321,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f22,f23]) ).
fof(f337,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f21,f22]) ).
fof(f400,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f84,f26]) ).
fof(f414,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f400,f28]) ).
fof(f428,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f27,f414]) ).
fof(f436,plain,
one = converse(one),
inference(superposition,[],[f26,f414]) ).
fof(f444,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f428,f436]) ).
fof(f455,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f414,f436]) ).
fof(f471,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f31,f455]) ).
fof(f484,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f471,f414]) ).
fof(f500,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f321,f484]) ).
fof(f504,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f500,f23]) ).
fof(f523,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f504,f504]) ).
fof(f525,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f504,f21]) ).
fof(f526,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f504,f39]) ).
fof(f633,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X1),complement(X0)))))),
inference(superposition,[],[f122,f121]) ).
fof(f646,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X1),complement(X0))))))),
inference(forward_demodulation,[],[f633,f22]) ).
fof(f654,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f646,f504]) ).
fof(f674,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X1),complement(join(X0,complement(X1)))),
inference(superposition,[],[f654,f21]) ).
fof(f709,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f21,f526]) ).
fof(f794,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0))))) = X0,
inference(superposition,[],[f23,f523]) ).
fof(f806,plain,
! [X0] : join(complement(complement(X0)),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f794,f674]) ).
fof(f812,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f806,f484]) ).
fof(f818,plain,
one = complement(sF6),
inference(superposition,[],[f812,f53]) ).
fof(f819,plain,
top = complement(zero),
inference(superposition,[],[f812,f278]) ).
fof(f820,plain,
sK0 = complement(sF2),
inference(superposition,[],[f812,f45]) ).
fof(f821,plain,
sK1 = complement(sF3),
inference(superposition,[],[f812,f47]) ).
fof(f822,plain,
sF4 = complement(sF5),
inference(superposition,[],[f812,f51]) ).
fof(f829,plain,
! [X0] : top = join(complement(X0),X0),
inference(superposition,[],[f32,f812]) ).
fof(f832,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f121,f812]) ).
fof(f840,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f504,f812]) ).
fof(f842,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f654,f812]) ).
fof(f847,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f842,f21]) ).
fof(f850,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),X1))) = join(complement(complement(join(X1,X0))),X1),
inference(superposition,[],[f842,f842]) ).
fof(f853,plain,
! [X0] : join(X0,complement(X0)) = join(complement(zero),X0),
inference(superposition,[],[f842,f526]) ).
fof(f867,plain,
join(complement(sF6),sF2) = join(sF2,complement(sF7)),
inference(superposition,[],[f842,f55]) ).
fof(f868,plain,
join(complement(sF3),sF2) = join(sF2,complement(sF4)),
inference(superposition,[],[f842,f49]) ).
fof(f897,plain,
join(complement(sF3),sF2) = join(sF2,sF5),
inference(forward_demodulation,[],[f868,f51]) ).
fof(f898,plain,
join(complement(sF6),sF2) = join(sF2,sF8),
inference(forward_demodulation,[],[f867,f57]) ).
fof(f901,plain,
! [X0] : join(X0,complement(X0)) = join(top,X0),
inference(forward_demodulation,[],[f853,f819]) ).
fof(f903,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),X1))) = join(join(X1,X0),X1),
inference(forward_demodulation,[],[f850,f812]) ).
fof(f907,plain,
join(sF2,sF5) = join(sK1,sF2),
inference(forward_demodulation,[],[f897,f821]) ).
fof(f908,plain,
join(sF2,sF8) = join(one,sF2),
inference(forward_demodulation,[],[f898,f818]) ).
fof(f909,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f901,f32]) ).
fof(f910,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),X1))) = join(X1,join(X0,X1)),
inference(forward_demodulation,[],[f903,f22]) ).
fof(f913,plain,
! [X0,X1] : join(complement(complement(X0)),X1) = join(X1,join(X0,X1)),
inference(forward_demodulation,[],[f910,f847]) ).
fof(f916,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,X1)),
inference(forward_demodulation,[],[f913,f812]) ).
fof(f926,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f840,f21]) ).
fof(f947,plain,
complement(sF2) = join(complement(sF2),complement(sF7)),
inference(superposition,[],[f840,f55]) ).
fof(f948,plain,
complement(sF2) = join(complement(sF2),complement(sF4)),
inference(superposition,[],[f840,f49]) ).
fof(f978,plain,
complement(sF2) = join(complement(sF2),sF5),
inference(forward_demodulation,[],[f948,f51]) ).
fof(f979,plain,
complement(sF2) = join(complement(sF2),sF8),
inference(forward_demodulation,[],[f947,f57]) ).
fof(f998,plain,
sK0 = join(sK0,sF5),
inference(forward_demodulation,[],[f978,f820]) ).
fof(f999,plain,
sK0 = join(sK0,sF8),
inference(forward_demodulation,[],[f979,f820]) ).
fof(f1062,plain,
complement(sF6) = join(complement(sF6),complement(sF7)),
inference(superposition,[],[f926,f55]) ).
fof(f1083,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(complement(join(X1,X0))),complement(X0)),
inference(superposition,[],[f842,f926]) ).
fof(f1085,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(join(X1,X0),complement(X0)),
inference(forward_demodulation,[],[f1083,f812]) ).
fof(f1099,plain,
complement(sF6) = join(complement(sF6),sF8),
inference(forward_demodulation,[],[f1062,f57]) ).
fof(f1115,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(X1,join(X0,complement(X0))),
inference(forward_demodulation,[],[f1085,f22]) ).
fof(f1122,plain,
one = join(one,sF8),
inference(forward_demodulation,[],[f1099,f818]) ).
fof(f1134,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(X1,top),
inference(forward_demodulation,[],[f1115,f32]) ).
fof(f1144,plain,
! [X1] : top = join(X1,top),
inference(forward_demodulation,[],[f1134,f32]) ).
fof(f1151,plain,
top = join(sF2,sK0),
inference(superposition,[],[f32,f820]) ).
fof(f1393,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(X1,X0)),join(complement(X0),X1)),
inference(superposition,[],[f916,f842]) ).
fof(f1401,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = X0,
inference(superposition,[],[f916,f121]) ).
fof(f1407,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f916,f926]) ).
fof(f1507,plain,
complement(sF5) = join(complement(sF5),complement(sK0)),
inference(superposition,[],[f926,f998]) ).
fof(f1508,plain,
complement(sF5) = join(complement(sF5),sF2),
inference(forward_demodulation,[],[f1507,f45]) ).
fof(f1510,plain,
sF4 = join(sF4,sF2),
inference(forward_demodulation,[],[f1508,f822]) ).
fof(f1592,plain,
! [X0] : composition(sK0,top) = join(composition(sK0,complement(join(complement(top),X0))),sK0),
inference(superposition,[],[f215,f1401]) ).
fof(f1595,plain,
! [X0] : composition(sK0,top) = join(composition(sK0,complement(join(zero,X0))),sK0),
inference(forward_demodulation,[],[f1592,f278]) ).
fof(f1618,plain,
! [X0] : composition(sK0,top) = join(composition(sK0,complement(X0)),sK0),
inference(forward_demodulation,[],[f1595,f709]) ).
fof(f1627,plain,
! [X0] : sK0 = join(composition(sK0,complement(X0)),sK0),
inference(forward_demodulation,[],[f1618,f64]) ).
fof(f1641,plain,
! [X0] : composition(one,X0) = join(X0,composition(sF8,X0)),
inference(superposition,[],[f444,f1122]) ).
fof(f1652,plain,
! [X0] : join(X0,composition(sF8,X0)) = X0,
inference(forward_demodulation,[],[f1641,f455]) ).
fof(f1661,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sF8,X0),X1)),
inference(superposition,[],[f22,f1652]) ).
fof(f1698,plain,
join(sF2,sF5) = join(sF2,sK1),
inference(superposition,[],[f21,f907]) ).
fof(f1746,plain,
! [X0] : complement(composition(sF8,complement(X0))) = join(complement(complement(X0)),complement(join(composition(sF8,complement(X0)),X0))),
inference(superposition,[],[f832,f1652]) ).
fof(f1811,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0))))),complement(complement(X0))),
inference(superposition,[],[f122,f832]) ).
fof(f1824,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0))))),X0),
inference(forward_demodulation,[],[f1811,f812]) ).
fof(f1861,plain,
! [X0] : complement(composition(sF8,complement(X0))) = join(X0,complement(join(composition(sF8,complement(X0)),X0))),
inference(forward_demodulation,[],[f1746,f812]) ).
fof(f1882,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(join(X0,X1)),join(complement(X1),X0))),X0),
inference(forward_demodulation,[],[f1824,f812]) ).
fof(f1904,plain,
! [X0] : complement(composition(sF8,complement(X0))) = join(complement(composition(sF8,complement(X0))),X0),
inference(forward_demodulation,[],[f1861,f847]) ).
fof(f1916,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X1),X0)),X0),
inference(forward_demodulation,[],[f1882,f1393]) ).
fof(f2021,plain,
! [X0] : composition(sK0,join(top,X0)) = join(composition(sK0,complement(join(complement(X0),top))),sK0),
inference(superposition,[],[f215,f1916]) ).
fof(f2024,plain,
! [X0] : sK0 = composition(sK0,join(top,X0)),
inference(forward_demodulation,[],[f2021,f1627]) ).
fof(f2075,plain,
! [X0] : sK0 = join(sK0,composition(sK0,X0)),
inference(forward_demodulation,[],[f2024,f212]) ).
fof(f2344,plain,
! [X2,X0,X1] : join(complement(join(X2,X0)),complement(X1)) = join(complement(X1),complement(join(X0,join(complement(X1),X2)))),
inference(superposition,[],[f654,f337]) ).
fof(f2626,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sF8)),
inference(superposition,[],[f267,f1122]) ).
fof(f2720,plain,
! [X0] : join(X0,composition(X0,sF8)) = X0,
inference(forward_demodulation,[],[f2626,f26]) ).
fof(f2802,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(join(complement(complement(X1)),X0),X1))),
inference(superposition,[],[f832,f317]) ).
fof(f2814,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(complement(complement(X1)),join(X0,X1)))),
inference(forward_demodulation,[],[f2802,f22]) ).
fof(f2882,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(top,X0)),complement(join(X1,join(X0,X1)))),
inference(forward_demodulation,[],[f2814,f812]) ).
fof(f2912,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(top,X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f2882,f916]) ).
fof(f2932,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(top),complement(join(X0,X1))),
inference(forward_demodulation,[],[f2912,f909]) ).
fof(f2941,plain,
! [X0,X1] : complement(join(X1,X0)) = join(zero,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2932,f278]) ).
fof(f2943,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f2941,f709]) ).
fof(f3072,plain,
! [X2,X0,X1] : join(X1,X0) = join(join(X1,X0),complement(join(X2,complement(join(X0,X1))))),
inference(superposition,[],[f525,f2943]) ).
fof(f3079,plain,
! [X2,X0,X1] : join(X2,join(X1,X0)) = join(complement(join(complement(join(X0,X1)),X2)),X2),
inference(superposition,[],[f1916,f2943]) ).
fof(f3080,plain,
! [X2,X0,X1] : join(X2,join(X0,X1)) = join(X2,join(X1,X0)),
inference(forward_demodulation,[],[f3079,f1916]) ).
fof(f3083,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,complement(join(X2,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f3072,f22]) ).
fof(f3636,plain,
composition(sF8,top) = join(sF9,composition(sF8,complement(sK1))),
inference(superposition,[],[f211,f32]) ).
fof(f3669,plain,
composition(sF8,top) = join(sF9,composition(sF8,sF3)),
inference(forward_demodulation,[],[f3636,f47]) ).
fof(f4069,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(superposition,[],[f73,f32]) ).
fof(f4078,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sF8))),
inference(superposition,[],[f73,f2720]) ).
fof(f4092,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sF8),X0)),
inference(forward_demodulation,[],[f4078,f84]) ).
fof(f4112,plain,
! [X0] : join(X0,composition(converse(sF8),X0)) = X0,
inference(forward_demodulation,[],[f4092,f28]) ).
fof(f5179,plain,
! [X0,X1] : join(X0,composition(sF8,X1)) = join(X0,composition(sF8,join(X0,X1))),
inference(superposition,[],[f1661,f197]) ).
fof(f5188,plain,
! [X0] : join(X0,top) = join(X0,complement(composition(sF8,X0))),
inference(superposition,[],[f1661,f32]) ).
fof(f5270,plain,
! [X0] : top = join(X0,complement(composition(sF8,X0))),
inference(forward_demodulation,[],[f5188,f1144]) ).
fof(f5303,plain,
! [X0] : join(X0,composition(sF8,complement(X0))) = join(X0,composition(sF8,top)),
inference(superposition,[],[f5179,f32]) ).
fof(f5457,plain,
join(sK0,composition(sF8,top)) = join(sK0,composition(sF8,sF2)),
inference(superposition,[],[f5303,f45]) ).
fof(f5474,plain,
! [X0] : join(complement(composition(sF8,complement(X0))),X0) = join(X0,complement(join(X0,composition(sF8,top)))),
inference(superposition,[],[f842,f5303]) ).
fof(f5524,plain,
! [X0] : join(complement(composition(sF8,complement(X0))),X0) = join(complement(composition(sF8,top)),X0),
inference(forward_demodulation,[],[f5474,f842]) ).
fof(f5548,plain,
! [X0] : complement(composition(sF8,complement(X0))) = join(complement(composition(sF8,top)),X0),
inference(forward_demodulation,[],[f5524,f1904]) ).
fof(f5728,plain,
composition(sK0,top) = join(sK0,composition(sF8,top)),
inference(superposition,[],[f102,f999]) ).
fof(f5791,plain,
composition(sK0,top) = join(sK0,composition(sF8,sF2)),
inference(forward_demodulation,[],[f5728,f5457]) ).
fof(f5810,plain,
sK0 = join(sK0,composition(sF8,sF2)),
inference(forward_demodulation,[],[f5791,f64]) ).
fof(f8663,plain,
! [X2,X0,X1] : join(complement(X0),complement(join(X2,X1))) = join(complement(X0),complement(join(complement(join(complement(X0),complement(join(X2,X1)))),join(complement(X0),join(X1,X2))))),
inference(superposition,[],[f66,f3080]) ).
fof(f8782,plain,
! [X2,X0,X1] : join(complement(X0),complement(join(X2,X1))) = join(complement(join(join(X1,X2),complement(join(complement(X0),complement(join(X2,X1)))))),complement(X0)),
inference(forward_demodulation,[],[f8663,f2344]) ).
fof(f8901,plain,
! [X2,X0,X1] : join(complement(X0),complement(join(X2,X1))) = join(complement(join(X1,join(X2,complement(join(complement(X0),complement(join(X2,X1))))))),complement(X0)),
inference(forward_demodulation,[],[f8782,f22]) ).
fof(f9010,plain,
! [X2,X0,X1] : join(complement(X0),complement(join(X2,X1))) = join(complement(join(X1,X2)),complement(X0)),
inference(forward_demodulation,[],[f8901,f3083]) ).
fof(f10211,plain,
! [X0,X1] : complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))),zero)) = join(complement(join(complement(composition(X0,X1)),zero)),complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))),zero))),
inference(superposition,[],[f41,f278]) ).
fof(f10290,plain,
! [X0,X1] : complement(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))))) = join(complement(join(complement(composition(X0,X1)),zero)),complement(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))))),
inference(forward_demodulation,[],[f10211,f526]) ).
fof(f10361,plain,
! [X0,X1] : composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))) = join(complement(join(complement(composition(X0,X1)),zero)),composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))),
inference(forward_demodulation,[],[f10290,f812]) ).
fof(f10405,plain,
! [X0,X1] : composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))) = join(complement(complement(composition(X0,X1))),composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))),
inference(forward_demodulation,[],[f10361,f526]) ).
fof(f10439,plain,
! [X0,X1] : composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))) = join(composition(X0,X1),composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))),
inference(forward_demodulation,[],[f10405,f812]) ).
fof(f10462,plain,
! [X0,X1] : composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))) = composition(X0,join(X1,complement(join(complement(X1),complement(composition(converse(X0),top)))))),
inference(forward_demodulation,[],[f10439,f197]) ).
fof(f10476,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))),
inference(forward_demodulation,[],[f10462,f504]) ).
fof(f11105,plain,
! [X0] : complement(join(top,X0)) = join(composition(converse(sK0),complement(join(sK0,composition(sK0,X0)))),complement(join(top,X0))),
inference(superposition,[],[f31,f212]) ).
fof(f11124,plain,
! [X0] : complement(top) = join(composition(converse(sK0),complement(join(sK0,composition(sK0,X0)))),complement(top)),
inference(forward_demodulation,[],[f11105,f909]) ).
fof(f11166,plain,
! [X0] : zero = join(composition(converse(sK0),complement(join(sK0,composition(sK0,X0)))),zero),
inference(forward_demodulation,[],[f11124,f278]) ).
fof(f11191,plain,
! [X0] : zero = composition(converse(sK0),complement(join(sK0,composition(sK0,X0)))),
inference(forward_demodulation,[],[f11166,f526]) ).
fof(f11203,plain,
zero = composition(converse(sK0),complement(sK0)),
inference(forward_demodulation,[],[f11191,f2075]) ).
fof(f11211,plain,
zero = composition(converse(sK0),sF2),
inference(forward_demodulation,[],[f11203,f45]) ).
fof(f11228,plain,
! [X0] : composition(converse(sK0),join(sF2,X0)) = join(zero,composition(converse(sK0),X0)),
inference(superposition,[],[f197,f11211]) ).
fof(f11230,plain,
composition(converse(sK0),join(one,sF2)) = join(converse(sK0),zero),
inference(superposition,[],[f267,f11211]) ).
fof(f11235,plain,
converse(sK0) = composition(converse(sK0),join(one,sF2)),
inference(forward_demodulation,[],[f11230,f526]) ).
fof(f11237,plain,
! [X0] : composition(converse(sK0),X0) = composition(converse(sK0),join(sF2,X0)),
inference(forward_demodulation,[],[f11228,f709]) ).
fof(f11249,plain,
converse(sK0) = composition(converse(sK0),join(sF2,sF8)),
inference(forward_demodulation,[],[f11235,f908]) ).
fof(f11258,plain,
converse(sK0) = composition(converse(sK0),sF8),
inference(forward_demodulation,[],[f11249,f11237]) ).
fof(f12492,plain,
complement(composition(sF8,sF2)) = join(complement(sK0),complement(composition(sF8,sF2))),
inference(superposition,[],[f1407,f5810]) ).
fof(f12500,plain,
complement(composition(sF8,sF2)) = join(sF2,complement(composition(sF8,sF2))),
inference(forward_demodulation,[],[f12492,f45]) ).
fof(f12507,plain,
top = complement(composition(sF8,sF2)),
inference(forward_demodulation,[],[f12500,f5270]) ).
fof(f12554,plain,
complement(top) = composition(sF8,sF2),
inference(superposition,[],[f812,f12507]) ).
fof(f12572,plain,
zero = composition(sF8,sF2),
inference(forward_demodulation,[],[f12554,f278]) ).
fof(f12689,plain,
! [X0] : join(zero,composition(sF8,X0)) = composition(sF8,join(sF2,X0)),
inference(superposition,[],[f197,f12572]) ).
fof(f12696,plain,
! [X0] : composition(sF8,X0) = composition(sF8,join(sF2,X0)),
inference(forward_demodulation,[],[f12689,f709]) ).
fof(f13860,plain,
composition(converse(sF8),sK0) = converse(converse(sK0)),
inference(superposition,[],[f84,f11258]) ).
fof(f13886,plain,
sK0 = composition(converse(sF8),sK0),
inference(forward_demodulation,[],[f13860,f28]) ).
fof(f15314,plain,
top = converse(top),
inference(superposition,[],[f909,f4069]) ).
fof(f15442,plain,
! [X0] : composition(converse(X0),top) = converse(composition(top,X0)),
inference(superposition,[],[f84,f15314]) ).
fof(f19810,plain,
! [X2,X0,X1] : join(complement(join(X2,X1)),X0) = join(X0,complement(join(X1,X2))),
inference(superposition,[],[f9010,f812]) ).
fof(f26434,plain,
composition(sF8,top) = composition(sF8,sK0),
inference(superposition,[],[f12696,f1151]) ).
fof(f26436,plain,
composition(sF8,sF5) = composition(sF8,join(sF2,sK1)),
inference(superposition,[],[f12696,f1698]) ).
fof(f26526,plain,
composition(sF8,sF5) = join(composition(sF8,sF2),sF9),
inference(forward_demodulation,[],[f26436,f214]) ).
fof(f26551,plain,
composition(sF8,sF5) = join(zero,sF9),
inference(forward_demodulation,[],[f26526,f12572]) ).
fof(f26558,plain,
sF9 = composition(sF8,sF5),
inference(forward_demodulation,[],[f26551,f709]) ).
fof(f29584,plain,
composition(sF8,top) = join(composition(sF8,complement(sK1)),sF9),
inference(superposition,[],[f214,f829]) ).
fof(f29672,plain,
composition(sF8,top) = join(composition(sF8,sF3),sF9),
inference(forward_demodulation,[],[f29584,f47]) ).
fof(f29701,plain,
composition(sF8,sK0) = join(composition(sF8,sF3),sF9),
inference(forward_demodulation,[],[f29672,f26434]) ).
fof(f43942,plain,
! [X0] : join(complement(join(sF9,composition(sF8,sF3))),X0) = join(X0,complement(composition(sF8,sK0))),
inference(superposition,[],[f19810,f29701]) ).
fof(f43953,plain,
! [X0] : join(complement(composition(sF8,top)),X0) = join(X0,complement(composition(sF8,sK0))),
inference(forward_demodulation,[],[f43942,f3669]) ).
fof(f43982,plain,
! [X0] : complement(composition(sF8,complement(X0))) = join(X0,complement(composition(sF8,sK0))),
inference(forward_demodulation,[],[f43953,f5548]) ).
fof(f47565,plain,
! [X0] : complement(join(complement(X0),complement(composition(converse(converse(sF8)),top)))) = join(complement(join(complement(X0),complement(composition(converse(converse(sF8)),top)))),composition(converse(sF8),X0)),
inference(superposition,[],[f4112,f10476]) ).
fof(f47599,plain,
! [X0] : complement(join(complement(X0),complement(converse(composition(top,converse(sF8)))))) = join(complement(join(complement(X0),complement(converse(composition(top,converse(sF8)))))),composition(converse(sF8),X0)),
inference(forward_demodulation,[],[f47565,f15442]) ).
fof(f47707,plain,
! [X0] : complement(join(complement(X0),complement(composition(sF8,converse(top))))) = join(complement(join(complement(X0),complement(composition(sF8,converse(top))))),composition(converse(sF8),X0)),
inference(forward_demodulation,[],[f47599,f83]) ).
fof(f47768,plain,
! [X0] : complement(join(complement(X0),complement(composition(sF8,top)))) = join(complement(join(complement(X0),complement(composition(sF8,top)))),composition(converse(sF8),X0)),
inference(forward_demodulation,[],[f47707,f15314]) ).
fof(f47801,plain,
! [X0] : complement(join(complement(X0),complement(composition(sF8,sK0)))) = join(complement(join(complement(X0),complement(composition(sF8,sK0)))),composition(converse(sF8),X0)),
inference(forward_demodulation,[],[f47768,f26434]) ).
fof(f47824,plain,
! [X0] : complement(complement(composition(sF8,complement(complement(X0))))) = join(complement(complement(composition(sF8,complement(complement(X0))))),composition(converse(sF8),X0)),
inference(forward_demodulation,[],[f47801,f43982]) ).
fof(f47836,plain,
! [X0] : composition(sF8,complement(complement(X0))) = join(composition(sF8,complement(complement(X0))),composition(converse(sF8),X0)),
inference(forward_demodulation,[],[f47824,f812]) ).
fof(f47845,plain,
! [X0] : composition(sF8,X0) = join(composition(sF8,X0),composition(converse(sF8),X0)),
inference(forward_demodulation,[],[f47836,f812]) ).
fof(f47851,plain,
! [X0] : composition(sF8,X0) = composition(join(sF8,converse(sF8)),X0),
inference(forward_demodulation,[],[f47845,f27]) ).
fof(f48041,plain,
composition(sF8,one) = join(sF8,converse(sF8)),
inference(superposition,[],[f26,f47851]) ).
fof(f48066,plain,
sF8 = join(sF8,converse(sF8)),
inference(forward_demodulation,[],[f48041,f26]) ).
fof(f48193,plain,
converse(sF8) = join(converse(sF8),sF8),
inference(superposition,[],[f74,f48066]) ).
fof(f48207,plain,
sF8 = join(converse(sF8),sF8),
inference(superposition,[],[f916,f48066]) ).
fof(f48238,plain,
sF8 = converse(sF8),
inference(forward_demodulation,[],[f48193,f48207]) ).
fof(f48259,plain,
sK0 = composition(sF8,sK0),
inference(superposition,[],[f13886,f48238]) ).
fof(f48311,plain,
! [X0] : join(X0,complement(sK0)) = complement(composition(sF8,complement(X0))),
inference(superposition,[],[f43982,f48259]) ).
fof(f48349,plain,
! [X0] : join(X0,sF2) = complement(composition(sF8,complement(X0))),
inference(forward_demodulation,[],[f48311,f45]) ).
fof(f48498,plain,
join(sF4,sF2) = complement(composition(sF8,sF5)),
inference(superposition,[],[f48349,f51]) ).
fof(f48714,plain,
complement(sF9) = join(sF4,sF2),
inference(forward_demodulation,[],[f48498,f26558]) ).
fof(f48790,plain,
sF4 = complement(sF9),
inference(forward_demodulation,[],[f48714,f1510]) ).
fof(f48940,plain,
complement(sF4) = sF9,
inference(superposition,[],[f812,f48790]) ).
fof(f48997,plain,
sF5 = sF9,
inference(forward_demodulation,[],[f48940,f51]) ).
fof(f49041,plain,
$false,
inference(forward_subsumption_resolution,[],[f48997,f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL020+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n016.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 22:56:32 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.45 Running first-order theorem proving
% 0.14/0.45 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.91/3.87 % (3080243)Detected formulas, will run a generic FOF schedule.
% 20.91/3.87 % (3080255)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1105497075:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 20.91/3.87 % (3080255)Instruction limit reached!
% 20.91/3.87 % (3080255)------------------------------
% 20.91/3.87 % (3080255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.91/3.87 % (3080255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.91/3.87 % (3080255)CaDiCaL version: 2.1.3
% 20.91/3.87 % (3080255)Termination reason: Instruction limit
% 20.91/3.87 % (3080255)Termination phase: Saturation
% 20.91/3.87 % (3080255)Time elapsed: 0.073 s
% 20.91/3.87 % (3080255)Peak memory usage: 90 MB
% 20.91/3.87 % (3080255)Instructions burned: 140 (million)
% 20.91/3.87 % (3080250)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=864962315:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 20.91/3.87 % (3080254)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=832927206:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 20.91/3.87 % (3080251)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=376185017:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 20.91/3.87 % (3080253)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3371805088:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 20.91/3.87 % (3080252)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1792647680:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 20.91/3.87 % (3080256)dis-21_1_sil=8000:lcm=predicate:random_seed=1928959438:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 20.91/3.87 % (3080256)Refutation not found, incomplete strategy
% 20.91/3.87 % (3080256)------------------------------
% 20.91/3.87 % (3080256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.91/3.87 % (3080256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.91/3.87 % (3080256)CaDiCaL version: 2.1.3
% 20.91/3.87 % (3080256)Termination reason: Refutation not found, incomplete strategy
% 20.91/3.87 % (3080256)Time elapsed: 0.003 s
% 20.91/3.87 % (3080256)Peak memory usage: 88 MB
% 20.91/3.87 % (3080256)Instructions burned: 1 (million)
% 20.91/3.87 % (3080253)Instruction limit reached!
% 20.91/3.87 % (3080253)------------------------------
% 20.91/3.87 % (3080253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.91/3.87 % (3080253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.91/3.87 % (3080253)CaDiCaL version: 2.1.3
% 20.91/3.87 % (3080253)Termination reason: Instruction limit
% 20.91/3.87 % (3080253)Termination phase: Saturation
% 20.91/3.87 % (3080253)Time elapsed: 0.105 s
% 20.91/3.87 % (3080253)Peak memory usage: 90 MB
% 20.91/3.87 % (3080253)Instructions burned: 109 (million)
% 20.91/3.87 % (3080254)Instruction limit reached!
% 20.91/3.87 % (3080254)------------------------------
% 20.91/3.87 % (3080254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.91/3.87 % (3080254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.91/3.87 % (3080254)CaDiCaL version: 2.1.3
% 20.91/3.87 % (3080254)Termination reason: Instruction limit
% 20.91/3.87 % (3080254)Termination phase: Saturation
% 20.91/3.87 % (3080254)Time elapsed: 0.112 s
% 20.91/3.87 % (3080254)Peak memory usage: 88 MB
% 20.91/3.87 % (3080254)Instructions burned: 120 (million)
% 20.91/3.87 % (3080264)lrs+10_1_sil=8000:sp=occurrence:random_seed=3128022278:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 20.91/3.87 % (3080265)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1805149745:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 20.91/3.87 % (3080256)------------------------------
% 20.91/3.87 % (3080256)------------------------------
% 20.91/3.87 % (3080266)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3111512547:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 20.91/3.87 % (3080265)Instruction limit reached!
% 20.91/3.87 % (3080265)------------------------------
% 20.91/3.87 % (3080265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/5.85 % (3080265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/5.85 % (3080265)CaDiCaL version: 2.1.3
% 34.36/5.85 % (3080265)Termination reason: Instruction limit
% 34.36/5.85 % (3080265)Termination phase: Saturation
% 34.36/5.85 % (3080265)Time elapsed: 0.079 s
% 34.36/5.85 % (3080265)Peak memory usage: 91 MB
% 34.36/5.85 % (3080265)Instructions burned: 157 (million)
% 34.36/5.85 % (3080264)Instruction limit reached!
% 34.36/5.85 % (3080264)------------------------------
% 34.36/5.85 % (3080264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/5.85 % (3080264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/5.85 % (3080264)CaDiCaL version: 2.1.3
% 34.36/5.85 % (3080264)Termination reason: Instruction limit
% 34.36/5.85 % (3080264)Termination phase: Saturation
% 34.36/5.85 % (3080264)Time elapsed: 0.278 s
% 34.36/5.85 % (3080264)Peak memory usage: 91 MB
% 34.36/5.85 % (3080264)Instructions burned: 286 (million)
% 34.36/5.85 % (3080269)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2838303365:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 34.36/5.85 % (3080271)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1826797584:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 34.36/5.85 % (3080266)Instruction limit reached!
% 34.36/5.85 % (3080266)------------------------------
% 34.36/5.85 % (3080266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/5.85 % (3080266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/5.85 % (3080266)CaDiCaL version: 2.1.3
% 34.36/5.85 % (3080266)Termination reason: Instruction limit
% 34.36/5.85 % (3080266)Termination phase: Saturation
% 34.36/5.85 % (3080266)Time elapsed: 0.324 s
% 34.36/5.85 % (3080266)Peak memory usage: 92 MB
% 34.36/5.85 % (3080266)Instructions burned: 325 (million)
% 34.36/5.85 % (3080271)Instruction limit reached!
% 34.36/5.85 % (3080271)------------------------------
% 34.36/5.85 % (3080271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/5.85 % (3080271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/5.85 % (3080271)CaDiCaL version: 2.1.3
% 34.36/5.85 % (3080271)Termination reason: Instruction limit
% 34.36/5.85 % (3080271)Termination phase: Saturation
% 34.36/5.85 % (3080271)Time elapsed: 0.105 s
% 34.36/5.85 % (3080271)Peak memory usage: 92 MB
% 34.36/5.85 % (3080271)Instructions burned: 295 (million)
% 34.36/5.85 % (3080272)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=111353619:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 34.36/5.85 % (3080269)Instruction limit reached!
% 34.36/5.85 % (3080269)------------------------------
% 34.36/5.85 % (3080269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/5.85 % (3080269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/5.85 % (3080269)CaDiCaL version: 2.1.3
% 34.36/5.85 % (3080269)Termination reason: Instruction limit
% 34.36/5.85 % (3080269)Termination phase: Saturation
% 34.36/5.85 % (3080269)Time elapsed: 0.232 s
% 34.36/5.85 % (3080269)Peak memory usage: 91 MB
% 34.36/5.85 % (3080269)Instructions burned: 248 (million)
% 34.36/5.85 % (3080276)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2998744791:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 34.36/5.85 % (3080276)Refutation not found, incomplete strategy
% 34.36/5.85 % (3080276)------------------------------
% 34.36/5.85 % (3080276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/5.85 % (3080276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/5.85 % (3080276)CaDiCaL version: 2.1.3
% 34.36/5.85 % (3080276)Termination reason: Refutation not found, incomplete strategy
% 34.36/5.85 % (3080276)Time elapsed: 0.001 s
% 34.36/5.85 % (3080276)Peak memory usage: 87 MB
% 34.36/5.85 % (3080276)Instructions burned: 1 (million)
% 34.36/5.85 % (3080275)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3370688557:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 34.36/5.85 % (3080275)Instruction limit reached!
% 34.36/5.85 % (3080275)------------------------------
% 34.36/5.85 % (3080275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.36/5.85 % (3080275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.36/5.85 % (3080275)CaDiCaL version: 2.1.3
% 36.97/6.95 % (3080275)Termination reason: Instruction limit
% 36.97/6.95 % (3080275)Termination phase: Saturation
% 36.97/6.95 % (3080275)Time elapsed: 0.121 s
% 36.97/6.95 % (3080275)Peak memory usage: 90 MB
% 36.97/6.95 % (3080275)Instructions burned: 114 (million)
% 36.97/6.95 % (3080278)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2201925545:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 36.97/6.95 % (3080276)------------------------------
% 36.97/6.95 % (3080276)------------------------------
% 36.97/6.95 % (3080278)Instruction limit reached!
% 36.97/6.95 % (3080278)------------------------------
% 36.97/6.95 % (3080278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.97/6.95 % (3080278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/6.95 % (3080278)CaDiCaL version: 2.1.3
% 36.97/6.95 % (3080278)Termination reason: Instruction limit
% 36.97/6.95 % (3080278)Termination phase: Saturation
% 36.97/6.95 % (3080278)Time elapsed: 0.104 s
% 36.97/6.95 % (3080278)Peak memory usage: 89 MB
% 36.97/6.95 % (3080278)Instructions burned: 115 (million)
% 36.97/6.95 % (3080281)lrs+10_1_sil=8000:sp=occurrence:random_seed=3446950465:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 36.97/6.95 % (3080283)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4122643867:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 36.97/6.95 % (3080284)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=300251329:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 36.97/6.95 % (3080281)Instruction limit reached!
% 36.97/6.95 % (3080281)------------------------------
% 36.97/6.95 % (3080281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.97/6.95 % (3080281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/6.95 % (3080281)CaDiCaL version: 2.1.3
% 36.97/6.95 % (3080281)Termination reason: Instruction limit
% 36.97/6.95 % (3080281)Termination phase: Saturation
% 36.97/6.95 % (3080281)Time elapsed: 0.454 s
% 36.97/6.95 % (3080281)Peak memory usage: 97 MB
% 36.97/6.95 % (3080281)Instructions burned: 908 (million)
% 36.97/6.95 % (3080283)Instruction limit reached!
% 36.97/6.95 % (3080283)------------------------------
% 36.97/6.95 % (3080283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.97/6.95 % (3080283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/6.95 % (3080283)CaDiCaL version: 2.1.3
% 36.97/6.95 % (3080283)Termination reason: Instruction limit
% 36.97/6.95 % (3080283)Termination phase: Saturation
% 36.97/6.95 % (3080283)Time elapsed: 0.375 s
% 36.97/6.95 % (3080283)Peak memory usage: 92 MB
% 36.97/6.95 % (3080283)Instructions burned: 437 (million)
% 36.97/6.95 % (3080288)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4180116069:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 36.97/6.95 % (3080288)Refutation not found, incomplete strategy
% 36.97/6.95 % (3080288)------------------------------
% 36.97/6.95 % (3080288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.97/6.95 % (3080288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/6.95 % (3080288)CaDiCaL version: 2.1.3
% 36.97/6.95 % (3080288)Termination reason: Refutation not found, incomplete strategy
% 36.97/6.95 % (3080288)Time elapsed: 0.002 s
% 36.97/6.95 % (3080288)Peak memory usage: 89 MB
% 36.97/6.95 % (3080288)Instructions burned: 2 (million)
% 36.97/6.95 % (3080289)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=704112062:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 36.97/6.95 % (3080288)------------------------------
% 36.97/6.95 % (3080288)------------------------------
% 36.97/6.95 % (3080292)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=455435162:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 36.97/6.95 % (3080289)Instruction limit reached!
% 36.97/6.95 % (3080289)------------------------------
% 36.97/6.95 % (3080289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.97/6.95 % (3080289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/6.95 % (3080289)CaDiCaL version: 2.1.3
% 36.97/6.95 % (3080289)Termination reason: Instruction limit
% 36.97/6.95 % (3080289)Termination phase: Saturation
% 36.97/6.95 % (3080289)Time elapsed: 0.582 s
% 36.97/6.95 % (3080289)Peak memory usage: 94 MB
% 36.97/6.95 % (3080289)Instructions burned: 593 (million)
% 36.97/6.95 % (3080294)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2403156940:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/125Mi)
% 36.97/6.95 % (3080272)Instruction limit reached!
% 36.97/6.95 % (3080272)------------------------------
% 36.97/6.95 % (3080272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.97/6.95 % (3080272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/6.95 % (3080272)CaDiCaL version: 2.1.3
% 36.97/6.95 % (3080272)Termination reason: Instruction limit
% 36.97/6.95 % (3080272)Termination phase: Saturation
% 36.97/6.95 % (3080272)Time elapsed: 2.345 s
% 36.97/6.95 % (3080272)Peak memory usage: 141 MB
% 36.97/6.95 % (3080272)Instructions burned: 2350 (million)
% 36.97/6.95 % (3080294)Instruction limit reached!
% 36.97/6.95 % (3080294)------------------------------
% 36.97/6.95 % (3080294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.97/6.95 % (3080294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/6.95 % (3080294)CaDiCaL version: 2.1.3
% 36.97/6.95 % (3080294)Termination reason: Instruction limit
% 36.97/6.95 % (3080294)Termination phase: Saturation
% 36.97/6.95 % (3080294)Time elapsed: 0.138 s
% 36.97/6.95 % (3080294)Peak memory usage: 91 MB
% 36.97/6.95 % (3080294)Instructions burned: 125 (million)
% 36.97/6.95 % (3080296)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2187851806:i=134:gtgl=5:slsql=off:gtg=exists_sym_2965 on theBenchmark for (2965ds/134Mi)
% 36.97/6.95 % (3080297)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3078561100:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/141Mi)
% 36.97/6.95 % (3080297)Refutation not found, incomplete strategy
% 36.97/6.95 % (3080297)------------------------------
% 36.97/6.95 % (3080297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.97/6.95 % (3080297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/6.95 % (3080297)CaDiCaL version: 2.1.3
% 36.97/6.95 % (3080297)Termination reason: Refutation not found, incomplete strategy
% 36.97/6.95 % (3080297)Time elapsed: 0.002 s
% 36.97/6.95 % (3080297)Peak memory usage: 88 MB
% 36.97/6.95 % (3080296)Instruction limit reached!
% 36.97/6.95 % (3080296)------------------------------
% 36.97/6.95 % (3080296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.97/6.95 % (3080296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/6.95 % (3080296)CaDiCaL version: 2.1.3
% 36.97/6.95 % (3080296)Termination reason: Instruction limit
% 36.97/6.95 % (3080296)Termination phase: Saturation
% 36.97/6.95 % (3080296)Time elapsed: 0.134 s
% 36.97/6.95 % (3080296)Peak memory usage: 89 MB
% 36.97/6.95 % (3080296)Instructions burned: 134 (million)
% 36.97/6.95 % (3080300)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=246598528:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2961 on theBenchmark for (2961ds/431Mi)
% 36.97/6.95 % (3080300)Refutation not found, incomplete strategy
% 36.97/6.95 % (3080300)------------------------------
% 36.97/6.95 % (3080300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.97/6.95 % (3080300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/6.95 % (3080300)CaDiCaL version: 2.1.3
% 36.97/6.95 % (3080300)Termination reason: Refutation not found, incomplete strategy
% 36.97/6.95 % (3080300)Time elapsed: 0.003 s
% 36.97/6.95 % (3080300)Peak memory usage: 88 MB
% 36.97/6.95 % (3080300)Instructions burned: 1 (million)
% 36.97/6.95 % (3080297)------------------------------
% 36.97/6.95 % (3080297)------------------------------
% 36.97/6.95 % (3080302)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1897547961:i=6060:aac=none:ins=25_2958 on theBenchmark for (2958ds/6060Mi)
% 36.97/6.95 % (3080300)------------------------------
% 36.97/6.95 % (3080300)------------------------------
% 36.97/6.95 % (3080304)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3669890270:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2954 on theBenchmark for (2954ds/150Mi)
% 36.97/6.95 % (3080304)Instruction limit reached!
% 36.97/6.95 % (3080304)------------------------------
% 36.97/6.95 % (3080304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.97/6.95 % (3080304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/6.95 % (3080304)CaDiCaL version: 2.1.3
% 36.97/6.95 % (3080304)Termination reason: Instruction limit
% 36.97/6.95 % (3080304)Termination phase: Saturation
% 36.97/6.95 % (3080304)Time elapsed: 0.154 s
% 36.97/6.95 % (3080304)Peak memory usage: 90 MB
% 36.97/6.95 % (3080304)Instructions burned: 151 (million)
% 36.97/6.95 % (3080284)Instruction limit reached!
% 36.97/6.95 % (3080284)------------------------------
% 36.97/6.95 % (3080284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.97/6.95 % (3080284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/6.95 % (3080284)CaDiCaL version: 2.1.3
% 36.97/6.95 % (3080284)Termination reason: Instruction limit
% 36.97/6.95 % (3080284)Termination phase: Saturation
% 36.97/6.95 % (3080284)Time elapsed: 3.228 s
% 36.97/6.95 % (3080284)Peak memory usage: 167 MB
% 36.97/6.95 % (3080284)Instructions burned: 5204 (million)
% 36.97/6.95 % (3080307)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2969492382:i=667:av=off:fsr=off_2949 on theBenchmark for (2949ds/667Mi)
% 36.97/6.95 % (3080306)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2494215840:i=14155:bd=all_2949 on theBenchmark for (2949ds/14155Mi)
% 36.97/6.95 % (3080307)Instruction limit reached!
% 36.97/6.95 % (3080307)------------------------------
% 36.97/6.95 % (3080307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.97/6.95 % (3080307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/6.95 % (3080307)CaDiCaL version: 2.1.3
% 36.97/6.95 % (3080307)Termination reason: Instruction limit
% 36.97/6.95 % (3080307)Termination phase: Saturation
% 36.97/6.95 % (3080307)Time elapsed: 0.238 s
% 36.97/6.95 % (3080307)Peak memory usage: 89 MB
% 36.97/6.95 % (3080307)Instructions burned: 668 (million)
% 36.97/6.95 % (3080250)First to succeed.
% 36.97/6.95 % (3080250)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3080243"
% 36.97/6.95 % (3080310)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3088167170:s2a=on:i=185:s2at=1.8:fdi=4_2944 on theBenchmark for (2944ds/185Mi)
% 36.97/6.95 % (3080310)Instruction limit reached!
% 36.97/6.95 % (3080310)------------------------------
% 36.97/6.95 % (3080310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.97/6.95 % (3080310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/6.95 % (3080310)CaDiCaL version: 2.1.3
% 36.97/6.95 % (3080310)Termination reason: Instruction limit
% 36.97/6.95 % (3080310)Termination phase: Saturation
% 36.97/6.95 % (3080310)Time elapsed: 0.091 s
% 36.97/6.95 % (3080310)Peak memory usage: 90 MB
% 36.97/6.95 % (3080310)Instructions burned: 187 (million)
% 36.97/6.95 % (3080312)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2504466773:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2941 on theBenchmark for (2941ds/193Mi)
% 36.97/6.95 % (3080250)Refutation found. Thanks to Tanya!
% 36.97/6.95 % SZS status Theorem for theBenchmark
% 36.97/6.95 % SZS output start Proof for theBenchmark
% See solution above
% 43.78/7.20 % (3080250)------------------------------
% 43.78/7.20 % (3080250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.78/7.20 % (3080250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.78/7.20 % (3080250)CaDiCaL version: 2.1.3
% 43.78/7.20 % (3080250)Termination reason: Refutation
% 43.78/7.20 % (3080250)Time elapsed: 5.406 s
% 43.78/7.20 % (3080250)Peak memory usage: 167 MB
% 43.78/7.20 % (3080250)Instructions burned: 5111 (million)
% 43.78/7.20 % (3080250)------------------------------
% 43.78/7.20 % (3080250)------------------------------
% 43.78/7.20 % (3080243)Success in time 6.113 s
% 43.78/7.20 % Vampire exiting
%------------------------------------------------------------------------------